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Table 1 Tuned optimal feedback gain matrix

From: Comparative performance analysis of hybrid differential evolution and pattern search technique for frequency control of the electric power system

Parameters

AC link

Parallel

AC-DC link

k1

1.7425

1.5306

k2

0.8997

0.7112

k3

− 1.3349

1.4300

k4

0.6772

1.8931

k5

1.3603

1.2474

k6

0.1406

− 0.0329

k7

0.0243

− 0.2212

k8

− 0.9005

− 0.9479

k9

0.5440

0.2004

k10

1.5463

0.2844

k11

1.1735

1.5962

k12

− 0.1054

− 1.2368

k13

− 0.5692

− 0.0252

k14

− 1.5034

− 1.0056

k15

0.3134

0.3920

k16

− 1.0508

− 0.5066

k17

1.6948

1.5894

k18

− 1.0446

0.5825

k19

0.4983

0.7403

k20

0.2930

− 0.0536

k21

0.6421

− 0.3179

k22

0.8966

1.7010

k23

1.4084

1.3353

k24

1.4433

1.6641

k25

− 1.3349

1.6123

k26

0.5298

− 0.5948

k27

1.3752

1.3408

k28

1.7641

− 0.8479

k29

− 1.6571

0.4305

k30

− 0.2549

1.2438

k31

− 0.0814

1.5311

k32

− 0.1054

− 0.2312

k33

1.7671

− 1.6034

k34

− 1.9620

1.8589

k35

− 0.9183

− 0.1582

k36

0.2028

0.8394

k37

− 0.8069

0.7098

k38

− 1.1730

1.5235

k39

− 0.6833

0.2110

k40

− 0.6495

1.8823

k41

1.8709

0.1306

k42

− 1.7750

0.4185

k43

0.6299

0.8831

k44

− 0.3081

− 0.0963

k45

− 1.3550

− 0.5471

k46

0.8986

− 1.1000

k47

0.9808

1.9733

k48

− 1.0999

1.9809

k49

0.3550

− 0.8130

k50

1.8766

− 1.9384

k51

–

0.5359

k52

–

− 0.6681